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Engineering Mathematics, Volume 2 by E. Rukmangadachari

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7

Numerical Solution of Ordinary Differential Equations

7.1 Introduction

Many engineering and scientific problems are modelled as differential equations. Forming differential equation, finding its solution and interpreting the results obtained are of utmost importance for engineers and scientists. Exact solutions of differential equations can be found only in a limited number of cases. Hence, there is need for numerical solution. Even in cases where closed-form solutions are possible to assess and analyse them we have to compute. Instead, we could solve the differential equation itself numerically and have a better understanding of the solution, especially now with the availability of high-speed digital computers.

7.1.1 Ordinary Differential ...

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